26579106961 has 9 divisors (see below), whose sum is σ = 29217022779. Its totient is φ = 24161194200.

The previous prime is 26579106959. The next prime is 26579107031. The reversal of 26579106961 is 16960197562.

The square root of 26579106961 is 163031.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11670696961 + 14908410000 = 108031^2 + 122100^2 .

It is not a de Polignac number, because 26579106961 - 2¹ = 26579106959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26579106899 and 26579106908.

It is not an unprimeable number, because it can be changed into a prime (26579101961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1785931 + ... + 1800751.

Almost surely, 2^26579106961 is an apocalyptic number.

26579106961 is the 163031-st square number.

26579106961 is the 81516-th centered octagonal number.

It is an amenable number.

26579106961 is a deficient number, since it is larger than the sum of its proper divisors (2637915818).

26579106961 is an frugal number, since it uses more digits than its factorization.

26579106961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29664 (or 14832 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 26579106961 in words is "twenty-six billion, five hundred seventy-nine million, one hundred six thousand, nine hundred sixty-one".